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3474333216 = 253336710957
BaseRepresentation
bin1100111100010110…
…0001111000100000
322222010120102012000
43033011201320200
524103412130331
61332431004000
7152045226234
oct31705417040
98863512160
103474333216
111523196a72
1280b669600
13434a50a93
1424d5da5c4
1515503c0e6
hexcf161e20

3474333216 has 96 divisors (see below), whose sum is σ = 10162010880. Its totient is φ = 1154850048.

The previous prime is 3474333209. The next prime is 3474333259. The reversal of 3474333216 is 6123334743.

3474333216 is a `hidden beast` number, since 3 + 4 + 7 + 433 + 3 + 216 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 311610 + ... + 322566.

It is an arithmetic number, because the mean of its divisors is an integer number (105854280).

Almost surely, 23474333216 is an apocalyptic number.

3474333216 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3474333216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5081005440).

3474333216 is an abundant number, since it is smaller than the sum of its proper divisors (6687677664).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3474333216 is a wasteful number, since it uses less digits than its factorization.

3474333216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11343 (or 11329 counting only the distinct ones).

The product of its digits is 108864, while the sum is 36.

The square root of 3474333216 is about 58943.4747533601. The cubic root of 3474333216 is about 1514.5739729459.

Adding to 3474333216 its reverse (6123334743), we get a palindrome (9597667959).

The spelling of 3474333216 in words is "three billion, four hundred seventy-four million, three hundred thirty-three thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 367 432 734 864 1101 1468 2202 2936 3303 4404 5872 6606 8808 9909 10957 11744 13212 17616 19818 21914 26424 32871 35232 39636 43828 52848 65742 79272 87656 98613 105696 131484 158544 175312 197226 262968 295839 317088 350624 394452 525936 591678 788904 1051872 1183356 1577808 2366712 3155616 4021219 4733424 8042438 9466848 12063657 16084876 24127314 32169752 36190971 48254628 64339504 72381942 96509256 108572913 128679008 144763884 193018512 217145826 289527768 386037024 434291652 579055536 868583304 1158111072 1737166608 3474333216